General counting formulae for factorized time correlation diagram analysis

Biebighauser, Daniel P.; Gregoire, John M.; Ulness, Darin J.

doi:10.1016/s0378-4371(02)01594-7

Cited by 5 publications

(4 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To date, FTC diagram analysis has been applied to several noisy-light spectroscopies ,− and also explored in a more general context , to elucidate the underlying mathematical structure of the diagrams. In all previous work the noisy-light signal was homodyne detected.…”

Section: Results: Factorized Time Correlation Diagram Analysismentioning

confidence: 99%

“…Although there is a formal isomorphism between the mathematical expressions and the FTC diagrams [137,138], it is informative to include selected analytic calculations in addition to the FTC diagram analysis. In this appendix we demonstrate the lengthy integration and algebra required for four of the 128 signal components, one of which is zero.…”

Section: Appendixmentioning

confidence: 99%

“…The FTC diagram analysis presented in this work greatly reduces the amount of mathematical effort required to produce an expression for each component of the final signal. Although there is a formal isomorphism between the mathematical expressions and the FTC diagrams, , it is informative to include selected analytic calculations in addition to the FTC diagram analysis. In this appendix we demonstrate the lengthy integration and algebra required for four of the 128 signal components, one of which is zero.…”

Section: Term G Ii11αimentioning

confidence: 99%

See 2 more Smart Citations

Two-Dimensional Electronic Spectroscopy Using Incoherent Light: Theoretical Analysis

Turner

Howey²,

Sutor³

et al. 2012

J. Phys. Chem. A

Self Cite

View full text Add to dashboard Cite

Electronic energy transfer in photosynthesis occurs over a range of time scales and under a variety of intermolecular coupling conditions. Recent work has shown that electronic coupling between chromophores can lead to coherent oscillations in two-dimensional electronic spectroscopy measurements of pigment-protein complexes measured with femtosecond laser pulses. A persistent issue in the field is to reconcile the results of measurements performed using femtosecond laser pulses with physiological illumination conditions. Noisy-light spectroscopy can begin to address this question. In this work we present the theoretical analysis of incoherent two-dimensional electronic spectroscopy, I(4) 2D ES. Simulations reveal diagonal peaks, cross peaks, and coherent oscillations similar to those observed in femtosecond two-dimensional electronic spectroscopy experiments. The results also expose fundamental differences between the femtosecond-pulse and noisy-light techniques; the differences lead to new challenges and new opportunities.

show abstract

Section: Results: Factorized Time Correlation Diagram Analysismentioning

confidence: 99%

Section: Appendixmentioning

confidence: 99%

Section: Term G Ii11αimentioning

confidence: 99%

See 1 more Smart Citation

Two-Dimensional Electronic Spectroscopy Using Incoherent Light: Theoretical Analysis

Turner

Howey²,

Sutor³

et al. 2012

J. Phys. Chem. A

Self Cite

View full text Add to dashboard Cite

show abstract

“…68,69 FTC diagram analysis is also currently being expanded beyond the context of noisy light. 70,71 The purpose of this work is to present the FTC diagram analysis of I (3) RIKES. In particular, the asymmetric terms which carry librational coherence information are identified diagrammatically.…”

Section: Introductionmentioning

confidence: 99%

Factorized time correlation diagram analysis of Raman induced Kerr effect spectroscopy using noisy light

Turner

Ulness

2003

The Journal of Chemical Physics

Self Cite

View full text Add to dashboard Cite

Articles you may be interested inLow-frequency collective dynamics in deep eutectic solvents of acetamide and electrolytes: A femtosecond Raman-induced Kerr effect spectroscopic study J. Chem. Phys. 141, 134506 (2014); 10.1063/1.4897207Isotropic and anisotropic Raman scattering from molecular liquids measured by spatially masked optical Kerr effect spectroscopy A combined instantaneous normal mode and time correlation function description of the optical Kerr effect and Raman spectroscopy of liquid CS 2The factorized time correlation ͑FTC͒ diagram analysis of Raman induced Kerr effect spectroscopy from noisy light is presented. The complete set of FTC diagrams is given. This process requires a more sophisticated FTC diagram analysis than is typical because of the important role color-locking plays for this spectroscopy. A physical understanding of the terms that give rise to the slow decaying asymmetric interferograms seen in the experimental literature can be gleaned from these FTC diagrams. The interferograms carry information about the decay of the librational coherences.

show abstract

flatIGW — An inverse algorithm to compute the density of states of lattice self avoiding walks

Ponmurugan

Sridhar

Narasimhan

et al. 2011

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

a b s t r a c tWe show that the Density of States (DoS) for lattice Self Avoiding Walks can be estimated by using an inverse algorithm, called flatIGW, whose step-growth rules are dynamically adjusted by requiring the energy histogram to be locally flat. Here, the (attractive) energy associated with a configuration is taken to be proportional to the number of non-bonded nearest neighbor pairs (contacts). The energy histogram is able to explicitly direct the growth of a walk because the step-growth rule of the Interacting Growth Walk [5]) samples the available nearest neighbor sites according to the number of contacts they would make. We have obtained the complex Fisher zeros corresponding to the DoS, estimated for square lattice walks of various lengths, and located the θ temperature by extrapolating the finite size values of the real zeros to their asymptotic value, ∼1.49 (reasonably close to the known value, ∼1.50 (Barkema et al. (1998) [14]).

show abstract

General counting formulae for factorized time correlation diagram analysis

Cited by 5 publications

References 15 publications

Two-Dimensional Electronic Spectroscopy Using Incoherent Light: Theoretical Analysis

Two-Dimensional Electronic Spectroscopy Using Incoherent Light: Theoretical Analysis

Factorized time correlation diagram analysis of Raman induced Kerr effect spectroscopy using noisy light

flatIGW — An inverse algorithm to compute the density of states of lattice self avoiding walks

Contact Info

Product

Resources

About